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Simplifying 0.13 + -0.001(x + 1) = -0.3(4 + -1x) Reorder the terms: 0.13 + -0.001(1 + x) = -0.3(4 + -1x) 0.13 + (1 * -0.001 + x * -0.001) = -0.3(4 + -1x) 0.13 + (-0.001 + -0.001x) = -0.3(4 + -1x) Combine like terms: 0.13 + -0.001 = 0.129 0.129 + -0.001x = -0.3(4 + -1x) 0.129 + -0.001x = (4 * -0.3 + -1x * -0.3) 0.129 + -0.001x = (-1.2 + 0.3x) Solving 0.129 + -0.001x = -1.2 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 0.129 + -0.001x + -0.3x = -1.2 + 0.3x + -0.3x Combine like terms: -0.001x + -0.3x = -0.301x 0.129 + -0.301x = -1.2 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 0.129 + -0.301x = -1.2 + 0.0 0.129 + -0.301x = -1.2 Add '-0.129' to each side of the equation. 0.129 + -0.129 + -0.301x = -1.2 + -0.129 Combine like terms: 0.129 + -0.129 = 0.000 0.000 + -0.301x = -1.2 + -0.129 -0.301x = -1.2 + -0.129 Combine like terms: -1.2 + -0.129 = -1.329 -0.301x = -1.329 Divide each side by '-0.301'. x = 4.415282392 Simplifying x = 4.415282392
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